{"id":"https://openalex.org/W2902271286","doi":"https://doi.org/10.1109/wcsp.2018.8555721","title":"Fast Decoding of the (41, 21, 9) Quadratic Residue Code Without Computing Unknown Syndromes","display_name":"Fast Decoding of the (41, 21, 9) Quadratic Residue Code Without Computing Unknown Syndromes","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2902271286","doi":"https://doi.org/10.1109/wcsp.2018.8555721","mag":"2902271286"},"language":"en","primary_location":{"id":"doi:10.1109/wcsp.2018.8555721","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcsp.2018.8555721","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 10th International Conference on Wireless Communications and Signal Processing (WCSP)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049994197","display_name":"Chunlan Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunlan Luo","raw_affiliation_strings":["Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015303092","display_name":"Yi Wu","orcid":"https://orcid.org/0000-0001-5965-0399"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Wu","raw_affiliation_strings":["Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103257436","display_name":"Hsin\u2010Chiu Chang","orcid":"https://orcid.org/0000-0002-9570-8874"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hsin-chiu Chang","raw_affiliation_strings":["Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101688326","display_name":"Zheng Yang","orcid":"https://orcid.org/0000-0001-5176-2361"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Yang","raw_affiliation_strings":["Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Provincial Engineering Technology Research Center of Photoelectric Sensing Application, Fujian Normal University, Fuzhou, Fujian, China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101610535","display_name":"Lianfeng Shen","orcid":"https://orcid.org/0000-0002-7250-3462"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianfeng Shen","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013177623","display_name":"Song Xing","orcid":"https://orcid.org/0000-0001-8992-8275"},"institutions":[{"id":"https://openalex.org/I27825529","display_name":"California State University Los Angeles","ror":"https://ror.org/0294hxs80","country_code":"US","type":"education","lineage":["https://openalex.org/I27825529"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Song Xing","raw_affiliation_strings":["Department of Information Systems, California State University, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Systems, California State University, Los Angeles, USA","institution_ids":["https://openalex.org/I27825529"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.169,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62089309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"47","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9706000089645386,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9401999711990356,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.8778888583183289},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.7526277899742126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6328954696655273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6235262155532837},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6137675046920776},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5799940824508667},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.571103572845459},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5702551603317261},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.5085242986679077},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4761072099208832},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4590825140476227},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4144444763660431},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.4133346974849701},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.24698305130004883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24168860912322998},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.18238669633865356},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.1063382625579834}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8778888583183289},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.7526277899742126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6328954696655273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6235262155532837},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6137675046920776},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5799940824508667},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.571103572845459},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5702551603317261},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.5085242986679077},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4761072099208832},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4590825140476227},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4144444763660431},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.4133346974849701},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.24698305130004883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24168860912322998},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.18238669633865356},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.1063382625579834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wcsp.2018.8555721","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcsp.2018.8555721","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 10th International Conference on Wireless Communications and Signal Processing (WCSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1495997422","https://openalex.org/W1776851175","https://openalex.org/W1972484744","https://openalex.org/W1978364302","https://openalex.org/W1990715499","https://openalex.org/W1997220158","https://openalex.org/W2009064721","https://openalex.org/W2040075573","https://openalex.org/W2059372197","https://openalex.org/W2101934444","https://openalex.org/W2127440037","https://openalex.org/W2134732546","https://openalex.org/W2135061293","https://openalex.org/W2158631089","https://openalex.org/W2171613506","https://openalex.org/W6638212132","https://openalex.org/W6660180045"],"related_works":["https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W2370284973","https://openalex.org/W2028976748","https://openalex.org/W2050784748","https://openalex.org/W2383267581","https://openalex.org/W2102627024","https://openalex.org/W2182594114","https://openalex.org/W2085052822","https://openalex.org/W2114608434"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3],"improved":[4],"hard-decision":[5],"scheme":[6],"is":[7,79],"proposed":[8,34,84,98],"to":[9,59],"facilitate":[10],"a":[11,102],"faster":[12],"decoding":[13,91,114],"of":[14,41,65],"the":[15,27,33,39,42,54,60,63,66,76,90,97,111,124],"binary":[16],"(41,":[17],"21,":[18],"9)":[19],"quadratic":[20],"residue":[21],"(QR)":[22],"code.":[23],"Based":[24],"on":[25],"eliminating":[26],"unknown":[28],"syndromes":[29],"in":[30,53,75,82,105,108,120],"Newton's":[31],"identities,":[32],"algorithm":[35,99,119],"can":[36,87,100],"directly":[37],"calculate":[38],"coefficients":[40],"error-Iocator":[43],"polynomials":[44],"when":[45],"there":[46],"are":[47],"2,":[48],"3":[49,73],"or":[50,72],"4":[51],"errors":[52,74],"received":[55,77],"word.":[56],"Additionally,":[57],"compared":[58],"conventional":[61,112],"works,":[62],"simplification":[64],"occurrence":[67],"conditions":[68],"for":[69],"1,":[70],"2":[71],"word":[78],"also":[80],"presented":[81],"our":[83],"algorithm,":[85],"which":[86],"further":[88],"reduce":[89],"time.":[92],"Simulation":[93],"results":[94],"show":[95],"that":[96],"achieve":[101],"significant":[103],"reduction":[104],"computational":[106],"complexity":[107],"comparison":[109],"with":[110],"algebraic":[113],"algorithms":[115],"(ADAs)":[116],"like":[117],"Lin's":[118],"[8],":[121],"while":[122],"maintaining":[123],"good":[125],"error":[126],"performance.":[127]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
